Moving emails

I'm trying to find a way to sort my emails that I have read. I need to move x@supplier.com in the supplier folder after I have opened the email. I understand I can have a rule that will say move the email directly to the folder. But I have noticed that (I) don't see them all. The main inbox first then the suppliers folder.

If possible clicking something at the end of the day to sort the emails is a very good option.

Few weeks ago, I've been transferring all my data and emails to Outlook by using a software, that's totally automated, and it took only few minutes to wait. The only thing that I couldn't transfer is big-size attachments.